Subordination to periodic processes and synchronization

Physica A: Statistical Mechanics and its Applications

Volumn 388, Issue 13, 2009, Pages 2727-2740

  Ascolani, Gianluca ^a   Bologna, Mauro ^a,b   Grigolini, Paolo ^a,c,d  

^a UNIVERSITY OF NORTH TEXAS   (United States)

^b UNIVERSIDAD DE TARAPACÁ   (Chile)

^c CNR   (Italy)

^d UNIVERSITY OF PISA   (Italy)

Author keywords

Coherence; Renewal; Subordination; Synchronization

Indexed keywords

COHERENT LIGHT; DAMPING; INVERSE PROBLEMS; SYNCHRONIZATION;

DAMPED OSCILLATIONS; DISTRIBUTION DENSITY; FLUCTUATION DISSIPATION; HIGHER TRANSCENDENTAL FUNCTIONS; INVERSE POWER LAW; REGULAR OSCILLATIONS; RENEWAL; SUBORDINATION;

CLOCKS;

EID: 64749100831     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2009.03.025     Document Type: Article

References (31)

1. Montroll E.W., and Weiss G.H. J. Math. Phys. 6 (1965) 167
2. Zaburdaev V.Yu. J. Stat. Phys. 133 (2008) 159
3. Esposito M., and Lindenberg K. Phys. Rev. E 77 (2008) 051119
4. Gorenflo R., Mainardi F., and Vivoli A. Chaos, Solitons Fractals 34 (2007) 87
5. Mura A., Taqqu M.S., and Mainardi F. Physica A 387 (2008) 5033
6. J. Bertoin, Subordinators, Lèvy processes with no negative jumps: http://webdoc.sub.gwdg.de/ebook/e/2002/maphysto/publications/mps-ln/2000/8.pdf
7. Sokolov I.M. Phys. Rev. E 66 (2002) 041101
8. Barkai E., and Silbey R.J. J. Phys. Chem. B 104 (2000) 3866
9. Metzler R., and Klafter J. J. Phys. Chem. B 104 (2000) 3851
10. Failla R., Grigolini P., Ignaccolo M., and Schwettmann A. Phys. Rev. E 70 (2004) 010101R
11. Scher H., and Lax M. Phys. Rev. B 7 (1973) 4491
12. Bianco S., Geneston E., Grigolini P., and Ignaccolo M. Physica A 387 (2008) 1387
13. Pikovsky A., Rosenblum M., and Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences (2001), Cambridge University Press, Cambridge
14. Lukovic M., and Grigolini P. J. Chem. Phys. 129 (2008) 184102
15. Allegrini P., Benci V., Grigolini P., Hamilton P., Ignaccolo M., Menconi G., Palatella L., Raffaelli G., Scafetta N., Virgilio M., and Yang J. Chaos, Solitons Fractals 15 (2003) 517
16. Margolin G., and Barkai E. J. Stat. Phys. 122 (2006) 137
17. Allegrini P., Bellazzini J., Bramanti G., Ignaccolo M., Grigolini P., and Yang J. Show A Phys. Rev. E 66 (2002) 015101
18. West B.J., Bologna M., and Grigolini P. Physics of Fractal Operators (2003), Springer, Berlin
19. Piryatinska A., Saichev A.I., and Woyczynski W.A. Physica A 349 (2005) 375
20. R. Gorenflo, F. Mainardi, J. Comput. Appl. Math., (2008) (in press)
21. Fulger D., Scalas E., and Germano G. Phys. Rev. E 77 (2008) 021122
22. Wood K., Van den Broeck C., Kawai R., and Lindenberg K. Phys. Rev. E 76 (2007) 041132
23. H. Bateman, Higher Transcendental Functions, vol. III, Robert K Krieger, Publishing Company, Inc. Krim.Fr. Drive Malabar, FL; Copyright 1953 by McGraw-Hill Book Company Inc
24. Paris R.B. Proc. R. Soc. Lond. A 458 (2002) 3041
25. Wiman A. Ark. Mat. Astr. Fys. 12 (1917) 22
26. Acta Math. 66 (1936) 121
27. Mainardi F. Chaos, Solitons & Fractals 7 (1996) 1461
28. Stanislavsky A.A. Eur. Phys. J B 49 (2006) 93
29. Physica A 354 (2005) 101
30. Kozubowski T.J. Stat. Prob. Lett. 38 (1998) 157
31. I. Podlubny, M. Kacenak, Mittag-Leffler function-Calculates the Mittag-Leffler function with desired accuracy, MATLAB Central File Exchange, File ID 8735, mlf.m (2005)